Two-generator subgroups of the pure braid group
Geometric Topology
2008-12-10 v1 Group Theory
Abstract
We show that any two elements of the pure braid group either commute or generate a free group, settling a question of Luis Paris. Our proof involves the theory of 3-manifolds and the theory of group actions on trees.
Keywords
Cite
@article{arxiv.0812.1783,
title = {Two-generator subgroups of the pure braid group},
author = {Christopher J Leininger and Dan Margalit},
journal= {arXiv preprint arXiv:0812.1783},
year = {2008}
}
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7 pages